Jada plans to serve milk and healthy cookies for a book club meeting. She is preparing 12 ounces of milk and 4 cookies per person. Including herself, there are 15 people in the club. A package of cookies contains 24 cookies and costs $4.50. A 1-gallon jug of milk contains 128 ounces and costs $3. Let represent number of people in the club, represent the ounces of milk, represent the number of cookies and represent Jada's budget in dollars. Select all of the equations that could represent the quantities and constraints in this situation.

Jada plans to serve milk and healthy cookies for a book club meeting. She is preparing 12 ounces of milk and 4 cookies per person. Including herself, there are 15 people in the club. A package of cookies contains 24 cookies and costs $4.50. A 1-gallon jug of milk contains 128 ounces and costs $3. Let represent number of people in the club, represent the ounces of milk, represent the number of cookies and represent Jada's budget in dollars. Select all of the equations that could represent the quantities and constraints in this situation.

â m= 12(15)

n represents the number of people

in the club

b. 3m + 4.5c = 6

c. 4n =

m represents the ounces of milk

& 44.50) = C

c represents the number of

cookies

e b=2(3) + 3(4.50)

b represents Jada's budget in

dollars

The equations that could represent the quantities and constraints in this situation are:

a) m = 12(15)

c)4n = c

e) b = 2(3) + 3(4.50)

Step-by-step explanation:

Jada plans to serve milk and healthy cookies for a book club meeting

She is preparing 12 ounces of milk and 4 cookies per person

There are 15 people in the club

A package of cookies contains 24 cookies and costs $4.50

A 1-gallon jug of milk contains 128 ounces and costs $3

Let us represents number of people in the club by n

The the ounces of milk = m

The number of cookies = c

Jada's budget in dollars = d

y = 12(15)

She is preparing 4 cookies per person

4n = c

Since A package of cookies contains 24 cookies

She needs = 15 × 4 = 60 cookies

60 ÷ 24 = 2.5

Hence, approximately, she has to buy 3 packages of cookies

She needs = 15 × 12 = 180 ounces of milk

A 1-gallon jug of milk contains 128 ounces

180 ÷ 128 = 1.406

She needs to buy 2 A 1-gallon jug of milk

Note that: from the question

The cost of each jug of milk is $3

The cost of each package of cookies is $4.50

b represents Jada's budget in dollars

b = 2(3) + 3(4.50)

The equations that could represent the quantities and constraints in this situation are:

Options a, c and e are correct

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.